Mailing List flyrotary@lancaironline.net Message #16872
From: Ed Anderson <eanderson@carolina.rr.com>
Subject: : Same HP = Same Air Mass <> same air Velocity II [FlyRotary] Re: Ellison, the missing piece
Date: Thu, 10 Feb 2005 08:31:56 -0500
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
Good question, Tom.
 
That interpretation did occur to me.  I think the answer depends on your assumptions, IF using commonly accepted formulas for calculating air flow vs rpm and displacement (and considering both are positive displacement pumps) - then the 360 CID lycoming turning 2800 rpm and the rotors in the rotary turning 2100 rpm (6300 rpm E shaft) ingest the same total quantity of air in one minute - approx 291 CFM.  In comparing the two engines, its accepted that you compare them over the standard 720deg 4 stroke cycle - that means that 4 of the rotary faces have gone through their cycle in the same 720 deg of rotation.
 
But, assuming the formulas are correct, then they both end up with the same amount of air in the engine to create the same HP.  I think my math is correct on the smaller/unit displacement and longer period of rotation for the rotary for the same intake of air.  However, in both cases the air flow is pulsating and pulsating differently.  So if the total displacement for the rotary over that 720 deg is less than the Lycoming and the time it takes to complete that rotation is slower AND you still ingest the same amount of  total Air then the only way I can see that happening is the velocity of the air in the rotary's intake has to be considerably higher than in the Lycoming. 
 
 The only other alternative answer I see if that the commonly accepted formula for comparing the rotary to the reciprocating 4 stroke is incorrect (I got beat about the head mercilessly by a number of respected rotary experts  challenging that formula , so I wont' go there again (at least not now {:>)).
 
 Air Flow = Total Displacement * RPM/(2 - accounting for only every other cylinder sucking on each rev * 1728 (conversion of cubic inches to cubic feet)  = TD*RPM/(2*1728)
 
For the 360 CID Lycoming at 2800 rpm, Air Flow = 360*2800/(2*1728) = 291.66 CFM
 
Using the commonly accepted notion that a rotary is equivalent to a 160 CID 4 stroke reciprocating engine because of the 4 faces of 40 CID that complete there cycle in 720 deg.
 
For the 160 CID Rotary at 6000 rpm, Air Flow = 160 * 6300/(2*1728) = 291.66 CFM
 
So if both ingest the 291 CFM and the rotary has less total displacement (over 720 deg) then disregarding any of my math on rotation period differences you still have to account for why the rotary can ingest the same amount of air with less displacement.  (Now I must admit I have my suspicions about the commonly accepted (racing approved) formula for the rotary.  However, if my suspicions about the rotary formula are correct, it would make the rotary even more efficient at ingesting air - so I won't go there {:>)).
 
If my logic and calculations are correct then this implies the Ve of the rotary is considerably better than the Lycoming and is great than 100%. I mentioned a few of the reasons why the Ve of the rotary may indeed be better in the previous message.
 
Now, its possible that the stories about the Ellison not working well on the rotary is just that - a story OR there could be a plausible physical reason as I have poorly attempted to present. 
 
 
Ed
 
 
----- Original Message -----
From: Tom
Sent: Wednesday, February 09, 2005 11:54 PM
Subject: [FlyRotary] Re: Same HP = Same Air Mass <> same air Velocity [FlyRotary] Re: Ellison, the missing piece

Ed,
 
>The rotary has 40 CID displacement per face and 2 facesx 2 rotors =  4*40 or 160 CID for one rev.  So the rotary has 22% less displacement per revolution and the longer rotation period.<
 
and
 
>So if the rotary has less displacement of the sucking component and must take 25% longer for each revolution.  Therefore the only way it can obtain an equal amount of air is for the intake air to have a higher velocity than the Lycoming does.<
 
Isn't 'displacement' equal to the amount of air needing to be ingested?   So 22% less displacement equates to 22% less air and the rotarys longer rotation period gives it more time for air to push in?    And then the intake air velocity should be lower?
 
TIA
Tom

Ed Anderson <eanderson@carolina.rr.com> wrote:
Tom,
 
I have no experience with the Ellison, but the answer may be  not in the total air consumed, but in how it is sucked in.  Producing the same HP requires essentially the same air/fuel regardless - its how it gets there that may make a difference regarding the Ellison.
 
 
  The aircraft engine gulps in air in  large chunks.  The four large cylinders running at say 2800 rpm and only two cylinder "suck" each revolution.  So there air flow characteristic is different than a rotary.  With the rotary you have six faces (piston analogs) of less displacement rotating (the rotors not the eccentric shaft) at approx 2000 rpm (for 6000 rpm eccentric shaft).  The rotary sips smaller chunks of air.
 
The total amount of air would have to be the same for both engines (same HP), however, "Average" covers a multitude of difference in the actual air flow pattern.  I see 2 large masses of air in the intake for the aircraft engine each revolution.  The rotary would have 4 smaller airmass packages ( Yes, the rotary has six faces but only four have come around in a 720 deg revolution) in the intake. So the interval between the center of mass for each package is roughly 1/2 that of the Lycoming. 
 
For a specific example let see what numbers may tell us.
 
Lets take a Lycoming of 360 CID turning at 2800 rpm and a rotary of 80 CID with the rotors turning at 2100 rpm (6300 E shaft ).  This will have both engines sucking (assuming 100 % Ve for both) approx 291.67 Cubic Feet/Minute.  And assuming the same BSFC they would be producing the same HP. 
 
But, lets see where there are differences.
 
1st a 360 CID Lycoming at  2800 rpm has a period of revolution of 2800/60 = 46.6666 Revs/Sec or a rotation period of 1/rev-sec = 1/ 46.666 = .021428 seconds or 21.428 milliseconds.  During that time its  sucking intake air  for 2 cylinders in 360 deg of rotation.  The rotary however, has its rotors spinning at 2100 rpm (to draw the same amount of air) which gives it a rotation period of 2100/60 = 33.3333 Revs/Sec or a period of 1/35 = 0.02857 seconds or 28.57 ms. The rotary is also drawing in two chambers of air in 360 deg of rotation. 
 
Here the rotary e shaft is spinning at 6300 rpm to give the rotor a rotation rate of 2100 rpm 6300/3 = 2100.

Eshaft rpm  

   Displacement

     rpm   

CFM

360

2800

291.67

80

6300

291.67

6300

40

 2100(rotor)

291.67

 
 
 So right there we have a difference of approx 25% difference in the rotation time of the pumps pulling in the same average amount of air. The rotary takes  approx 25% more time than the Lycoming to complete a revolution..
 
 A 360 CID Lycoming (forgetting compression ratios for this discussion) has 360/4 = 90 cid displacement per cylinder or 180 CID for on rev.  The rotary has 40 CID displacement per face and 2 facesx 2 rotors =  4*40 or 160 CID for one rev.  So the rotary has 22%  less displacement per revolution and the  longer rotation period.
 
So if the rotary has less displacement of the sucking component and must take 25% longer for each revolution.  Therefore the only way it can obtain an equal amount of air is for the intake air to have a higher velocity than the Lycoming does.
 
The air velocity of the area in the intake for the rotary would appear to have to be much higher than the Lycoming.  If my assumptions and calculations are correct that would imply (at least to me) that to minimize air flow restriction a larger opening would be required on the rotary compared to the same HP Lycoming.  Its not that one is taken in more air its that the rotary has less time and smaller displacement pump so must take in the air at a higher velocity.
 
  The fact that the rotary has no valves to block the flow of air may be one reason that it can over come what would appear to be  less favorable parameters for sucking air. An additional factor that may play a role is the fact that air mass pulsation in the rotary intake  is less than the Lycoming.  This would mean less starting and stopping of air movement, so the velocity would seem to remain steadier and on an average higher than for the air pulses for the Lycoming which if you factor the start/slowing/start of air flow may lower its overall velocity compared to the rotary.
 
In summary, while the total air intake in equal for engines producing equal HP. It is likely that the air flow to the rotary may be considerably higher in order to ingest the same amount of air over the same time.  This may be why  there is a perception that the Ellison model  that may work well for a Lycoming may not work as well for a rotary. 
 
Well, anyhow, that's my best shot - if its incorrect perhaps somebody can take it from here, but I think the answer lies in the different pumping configuration of the two engines.
 
Best Regards
 
Ed

 
I'm under the impression I have an answer.
 
Isn't there a law of motor performance that says that two motors putting out the same horsepower are consuming the same amount of air&fuel, assuming efficiency differences were not significant?
 
So if you had a 13b and a O-360 putting out the same horsepower for a single given 1 revolution of the propeller, they should be consuming the same amount of air and fuel during that 1 propeller revolution. (I THINK chosing 1 propeller rpm is a correct standard)
 
Bill pointed out that the 13b operates at a higher rpm, and we know that there's more combustion charges consumed by the 13b to make that 1 prop rpm. 
 
The difference, the missing piece, each 13b combustion charge consumes a SMALLER amount of fuel/air than the piston powerplants less frequent combustion charge.   ???   So the 13b burns a smaller amount more frequently.   ???
 
If this is all true, then the Ellison isn't on the trash heap yet.
 
Tom

WRJJRS@aol.com wrote:
Group,
 I want to remind everyone about how much a priority the large volume inlets are to us. I believe Ed Anderson was mentioning in one of his posts how difficult it can be to get a MAP signal in the airbox of one of our PP engines. This is a perfect indication of why the smaller throttle bodies used on some of the slow turning engines will kill our HP.


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